FIELD OF THE INVENTION
The invention relates to a brushless permanent magnet machine with
axial modules of rotor magnetization skew and method of producing the same.
BACKGROUND
Electrical machines, such as brushless permanent magnet (BLPM) motors,
typically encounter problems with cogging and ripple torque, both of which cause
noise and vibration and can negatively affect the motor starting performance. The
sum of the cogging and ripple torque components is defined as the electrical machine
pulsating torque. Ripple torque is characterized as a cyclical variation in a delivered
torque to a load caused by the interaction of the rotor magnetic field with harmonics
in the stator current magnetomotive forces (mmf's). Cogging torque describes the
non-uniform torque as a result of the interaction of the rotor magnetization and
angular variations in an air gap permeance (or reluctance) associated with the shape
of the slots of the stator. By definition, no stator excitation is involved in cogging
torque production. There is a demand for an electric motor that minimizes the effect
of cogging and ripple torque and that exhibits smooth operation. Further, there
is a demand for an electrical machine having a rotor operable to provide a plurality
of power or motor ratings for a given motor frame, and thereby reduce tooling costs
and inventory. Further, there is a demand for an electrical machine to be easily
configurable for operation with different combinations of the number of phases and
poles.
SUMMARY
In one embodiment, the invention provides an electrical machine having
a machine output rating. The electrical machine includes a shaft rotatable about
an axis, a rotor mounted or coupled to the shaft and rotating with the shaft, and
a stator including a stator core and windings. The rotor is configurable to include
a first rotor portion having a relation to a first output rating and a second rotor
portion having a relation to a second output rating. The stator core is configurable
to be disposed adjacent to the first rotor portion when the machine output rating
corresponds to the first output rating and adjacent to the second rotor portion
when the machine output rating corresponds to the second output rating.
In another embodiment, the invention provides an electrical machine
that can be set up for operation in one of a plurality of modes including a first
mode wherein the electrical machine includes a first machine output rating and a
second mode where the electrical machine includes a second machine output rating.
The second machine output rating is different than the first machine output rating.
The electrical machine includes a shaft rotatable about an electrical machine axis,
a rotor mounted or coupled to the shaft and rotating with the shaft, and a stator
including a stator core and windings. The rotor is a first rotor in the first mode
and a second rotor in the second mode. The first rotor has a first rotor length
and/or a first magnetization pattern corresponding to the first machine output rating.
The second rotor has a second rotor length and/or a second magnetization pattern
corresponding to the second output rating. The stator core is a first core in the
first mode and a second core in the second mode. The first core has a first core
length corresponding to the first machine output rating, and the second core has
a second core length corresponding to the second machine output rating.
In yet another embodiment, the invention provides an electrical machine
having a shaft rotatable about an electrical machine axis, a rotor mounted or coupled
to the shaft and rotating with the shaft, and a stator including a plurality of
stator teeth. Each stator tooth includes one or more channels along a surface adjacent
to the rotor. The channel includes one of a trapezoidal shape, and a curvilinear
shape.
In another embodiment, the invention provides a method of manufacturing
an electrical machine having a stator and a rotor. The method includes the acts
of determining a desired output rating from a plurality of output ratings; determining
a length of the stator, the length having a relation to the desired output rating;
determining a length of the rotor, the length having a relation to the desired output
rating; producing the stator; providing a magnetizer configured to magnetize the
rotor into a plurality of sections; and producing the rotor. The act of producing
the rotor includes magnetizing the rotor to include a first section when the desired
output rating corresponds to the first output rating and magnetizing the rotor to
include the first section and a second section when the desired output rating corresponds
to the second output rating.
Other aspects of the invention will become apparent by consideration
of the detailed description and accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
- Fig. 1 is partial exploded view of the stator and rotor of a brushless permanent
magnet electrical machine.
- Fig. 2 is a longitudinal view of one construction of the rotor of Fig. 1.
- Fig. 3 is a longitudinal view of another construction of the rotor of Fig. 1.
- Fig. 4 is a longitudinal view of yet another construction of the rotor of Fig.
1.
- Fig. 5 is a longitudinal view of another construction of the rotor of Fig. 1.
- Fig. 6 is a cross-sectional view of a stator core and a rotor capable of being
used in the electrical machine of Fig. 1.
- Fig. 7 is a partial cross-sectional view of a portion of a stator core capable
of being used in the electrical machine of Fig. 1.
- Fig. 8 is a partial cross-sectional view of a portion of a stator core capable
of being used in the electrical machine of Fig. 1.
- Fig. 9 is a partial cross-sectional view of a portion of a stator core capable
of being used in the electrical machine of Fig. 1.
- Fig. 10a is a combination longitudinal view of a rotor and longitudinal-sectional
view of a stator, which has the same core length as the rotor.
- Fig. 10b is a combination longitudinal view of a rotor and longitudinal-sectional
sectional view of a stator, which has a shorter core length than the rotor and spacers
are used to axially align the stator and the rotor.
- Fig. 11 is an example of a stator-winding pattern in a double-layer arrangement
with compact coils for an 18-slot, 12-pole, 3-phase machine.
- Fig. 12 is an example of a stator-winding pattern in a single-layer arrangement
with compact coils for an 18-slot, 12-pole, 3-phase machine.
- Fig. 13 is an isometric view showing the geometry used to define an arc of magnetization
skew (β) on the rotor.
DETAILED DESCRIPTION
Before any embodiments of the invention are explained in detail, it
is to be understood that the invention is not limited in its application to the
details of construction and the arrangement of components set forth in the following
description or illustrated in the following drawings. The invention is capable of
other embodiments and of being practiced or of being carried out in various ways.
Also, it is to be understood that the phraseology and terminology used herein is
for the purpose of description and should not be regarded as limiting. The use of
"including," "comprising," or "having" and variations thereof herein is meant to
encompass the items listed thereafter and equivalents thereof as well as additional
items. The terms "connected," "coupled," and "mounted" and variations thereof herein
are used broadly and, unless otherwise stated, encompass both direct and indirect
connections, couplings, and mountings. In addition, the terms connected and coupled
and variations thereof herein are not restricted to physical and mechanical connections
or couplings.
Fig. 1 is a partial exploded view of the stator and rotor of one construction
of an electrical machine (e.g., motor, generator, etc.). For Fig. 1, the electrical
machine is a motor 10 having a rotor 15 and a stator 20. The rotor 15 is coupled
to a shaft 17. In general, the stator 20 receives electrical power, and produces
a magnetic field in response thereto. The magnetic field of the stator 20 interacts
with a magnetic field of the rotor 15 to produce mechanical power on the shaft 17.
The invention below refers to the electrical motor 10, however the invention is
not limited to the motor 10.
The rotor 15 includes a plurality of magnetic poles 25 of alternating
polarity exhibited on a surface of a rotor core 30. The rotor core 30 includes laminations
(e.g., magnetic steel laminations), and/or solid material (e.g., a solid magnetic
steel core), and/or compressed powdered material (e.g., compressed powder of magnetic
steel). One construction of the rotor 15 includes a sheet of permanent magnet (e.g.,
hard magnetic) material disposed on the rotor core 30. Another construction of the
rotor 15 can include a plurality of strips of permanent magnet material attached
(e.g., with adhesive) around the core 30. The permanent magnet material can be magnetized
by a magnetizer to provide a plurality of alternating magnetic poles. Additionally,
the number of magnetic strips can be different than the number of rotor magnetic
poles. Yet another construction of the rotor 15 contains blocks of permanent magnet
material placed inside the rotor core 30.
The description of the invention is not limited to a particular mechanical
construction, geometry, or position of the rotor 15. For example, Fig. 1 shows the
rotor 15 located inside and separated by a radial air gap from the stator 20. In
another construction, the rotor 15 can be positioned radially exterior to the stator
20 (i.e., the machine is an external- or outer- rotor machine.)
One method to reduce cogging and ripple torque is skewing the magnetization
of the magnetic poles 25 with respect to the stator 20. Alternatively, stator teeth
of the stator 20 can be skewed with respect to the rotor magnetization. The optimal
arc of skew in the magnetization of the rotor is dependent on the electrical machine
topology and particular machine design. As shown in Figs. 1-5, the "magnetization"
of the rotor 15 refers to the line pattern 31 along the length of the rotor 15 delineating
alternating magnetic poles 25 on the rotor core 30. Even though a rotor 15 of the
invention can include any number of alternating magnetic poles 25, Figs. 2-5 show
only one line pattern along the rotor 15 for the sake of simplicity.
Fig. 13 illustrates the geometrical concepts involved in defining
the magnetization skew of the rotor. The arc of magnetization skew can be defined
as the arc (β), measured in radians in between the longitudinal lines 32 and
33 (see Fig. 2) on the rotor surface facing the air-gap, which separates the stator
and the rotor.
Fig. 2 is a schematic diagram of one construction of the rotor 15
divided into a plurality of axial sections 55 (e.g., 70, 71, and 72) along the rotational
axis 50 of the rotor 15. The number of axial sections 55 can vary and is not limiting
on the invention. An axial section 55 refers to a portion of the rotor 15 differentiated
by imaginary lines 60. Imaginary lines 60 refer to locations on the rotor 15 where
the direction of skew of the magnetization pattern 31 changes. One construction
of the rotor 15 includes alternating magnetic poles with substantially the same
arc of magnetization skew (β) along each axial section 55, resulting in a herringbone
pattern of magnetization. The length of each axial section 55 can vary. The arc
of magnetization skew is generally the same for each axial section 55 in order to
ensure the continuity of the magnetic poles, and is selected such as to minimize
cogging and ripple torque. However, the outer axial sections (denoted by 95 and
100 in Fig. 5) can have a different arc of magnetization skew as it will be explained
later.
The design (e.g., the length and magnetization pattern) of the rotor
relates to the desired output rating (e.g., power rating in horsepower or torque
and speed rating) of the electrical machine, where the desired power output rating
is one of multiple ratings for the profile of the stator and rotor. Herein, the
cross-sectional profile of the stator and rotor refers to the cross-sectional geometry
of the stator core 105 and rotor 15. For example, Fig. 6 shows the profile of one
construction of the stator core 105 and rotor 15 of the invention. The electrical
machine 10, in one construction, provides a plurality of output ratings using the
same profile of the stator core 105 by varying the length (e.g., the number of laminations
in the stack) of the stator core in magnetic interaction with a respective combination
of axial sections 55 of the rotor 15. This aspect of the invention reduces tooling
costs and inventory. In some constructions, when varying by design the stator stack
length, the winding pattern is kept the same and the number of turns and wire size
are changed in order to match the electrical power supply conditions, the desired
output rating, and other design requirements, such as the copper fill factor.
One method of providing the herringbone magnetization pattern (see
Fig. 1) on the rotor 15 includes the use of a magnetizer and a magnetizing fixture.
Normally, a particular magnetizing fixture is required for an electrical machine
having a particular length of rotor 15. The rotor 15 of the invention allows the
same magnetizer and magnetizing fixture to be used for multiple output power ratings,
thereby reducing tooling costs.
Fig. 2 shows one construction of the rotor 15 including three axial
sections 70, 71, and 72. The stator 20 interacts with one or more of the three axial
sections 70, 71, and 72 to provide multiple output ratings for the profile of the
motor. The first axial section 70 includes magnetic poles aligned with a first skew
direction, the second axial section 71 includes magnetic poles aligned with a second
skew direction, and the third axial section 72 includes magnetic poles aligned with
the first skew direction. The second axial section 71 interacts with a first stator
20 to provide a minimum rating for the profile of the motor (e.g., a one-half horsepower
output). A combination of the first 70 and second 71 axial sections interact with
a second stator 20 to provide an intermediate rating for the profile of the motor
(e.g., a three-quarter horsepower output). A combination of all three axial sections
70, 71, and 72 interact with a third stator 20 to provide a maximum rating for the
profile of the motor (e.g., a one horsepower output). This construction of the rotor
15 includes fewer changes in skew direction along the rotor with respect to the
description of the other constructions given below, such that the magnetizing fixture
includes a more simple and accurate magnetization pattern. Making the first 70 and
third 72 axial sections of the same length and arc of magnetization skew (β),
contributes to the axial magnetic symmetry of the motor having the maximum rating
for the profile of the motor. However, with a construction of the rotor 15 as shown
in Fig. 2, characterized as including a number of axial sections equal to the number
of possible output ratings within the profile of the motor 10, the axial symmetry
of a motor of an intermediate output rating is not necessarily guaranteed.
Fig. 3 is a schematic diagram of yet another construction of the rotor
15. The construction shown in Fig. 3 is characterized as including a number of axial
sections equal to double the number of possible output ratings within the profile
of the motor 10. For example and as shown in Fig. 3, the rotor 15 includes six axial
sections 75, 76, 77, 78, 79, and 80 operable to provide three power output ratings.
The third 77 and fourth 78 axial sections interact with a first stator 20 to provide
a minimum rating for the profile of the motor (e.g., one-half horsepower output).
A combination of the second 76, third 77, fourth 78, and fifth 79 axial sections
interact with a second stator 20 to provide an intermediate rating for the profile
of the motor (e.g., a three-quarter horsepower output). All six axial sections 75,
76, 77, 78, 79, and 80 interact with a third stator 20 to provide a maximum rating
for the profile of the motor (e.g., a one horsepower output). The first, second,
and third stators 20 described above include the same profile of stator core 105,
but can differ in the length (e.g., number of laminations) of the stator core to
provide the desired output rating.
Fig. 4 is a schematic diagram of yet another construction of the rotor
15 of the invention. This construction is characterized by the number of axial sections
equal to double minus one the number of possible output ratings within the profile
of the motor 10. For example, Fig. 4 shows the rotor 15 including five axial sections
85, 86, 87, 88, and 89 operable to provide three power output ratings. The third
87 axial section interacts with a first stator 20 to provide a minimum rating for
the profile of the motor (e.g., one-half horsepower output). A combination of the
second 86, third 87, and fourth 88 axial sections interact with a second stator
20 to provide an intermediate rating for the profile of the motor (e.g., a three-quarter
horsepower power output). A combination of the all five axial sections 85, 86, 87,
88, and 89 interact with a third stator 20 to provide a provide a maximum rating
for the profile of the motor (e.g., a one horsepower output). Each of the sections
85, 86, 87, 88, and 89 can be of different length. The first, second, and third
stators 20 described above include the same profile of stator core 105, but can
differ in the length (e.g., number of laminations) of the stator core to provide
the desired output rating.
The constructions of the invention shown in Fig. 3 and Fig. 4 provide
more freedom to vary by design the lengths of the axial sections and improve the
axial symmetry of the motor. In the rotor construction shown in Fig. 3, the axial
symmetry of the motor is improved if the first 75 and sixth 80, the second 76 and
the fifth 79, the third 77 and the fourth 78 axial sections, have, respectively,
equal length and arc of magnetization skew. In the rotor construction shown in Fig.
4 the axial symmetry of the motor is improved if the first 85 and the fifth 89,
the second 86 and the fourth 88 axial sections have, respectively, equal length
and arc of magnetization skew. In the rotor construction shown in Fig. 5 the axial
symmetry of the motor is improved if the first 95 and the sixth 100, the second
96 and the fifth 99 axial sections, and the third 97 and the fourth 98 axial sections
have, respectively, equal length and arc of magnetization skew.
One construction of a rotor 15 design includes a first one or more
axial sections in relation to a first output rating (P1)(e.g., one-half
horsepower output). The first one or more axial sections 55 have a first length
(L1). A ratio of the first length L1 of the first one or more
axial sections 55 divided by a maximum length (Lm) of the rotor, used
for a maximum rating (Pm) for the profile of the motor, is in a range
of ¾ to 1S times the ratio of the power ratings (P1/ Pm),
with a preferred range of ¾ to 1R times the ratio of the power ratings (P1/Pm).
This range of power and length ratio provides the designer with freedom to design
for a desired output rating by trading off, on one hand the motor size and cost,
and on the other hand motor efficiency. The rotor 15 can also include a second one
or more axial sections in relation to an intermediate rating for the profile of
the motor (Pi) (e.g., a half horsepower output). The second one or more
axial sections have a second length (Li), and the second length includes
the first length. A ratio of the second length of the second one or more axial sections
divided by a maximum length of the rotor (Lm) is in a range of ¾
to 1S of the ratio of the power ratings (Pi/Pm), with a preferred
range of ¾ to 1R times the ratio of the power ratings (Pi/Pm).
The total number of axial sections and the total number of ratings
for a given motor profile are not limiting on the invention. Therefore, generally
speaking, a rotor 15 design includes one or more axial sections in relation to a
first output rating (Px) (e.g., one-half horsepower output, ¾
horsepower output, etc.). The one or more axial sections 55 have a first total length
(Lx). A ratio of the first total length Lx of the one or more
axial sections 55 divided by a maximum length (Lm) of the rotor, used
for a maximum rating (Pm) for the cross-sectional profile, is in a range
of ¾ to 1S times the ratio of the power ratings (Px/Pm),
with a preferred range of ¾ to 1R times the ratio of the power ratings (Px/Pm).
In addition to reducing cogging and ripple torque, the arc of magnetization
skew also affects the specific torque output (e.g., torque per unit axial length
at a given current) of the motor 10. In general, the torque output or power rating
decreases as the arc of magnetization skew increases. Reducing the arc of magnetization
skew can increase the motor torque output per axial length. Accordingly, at the
penalty of increasing the cogging and ripple torque, reducing the arc of magnetization
skew allows shortening of the axial length of the rotor 15 and maintaining a desired
power output of the motor 10. Shortening the axial length of rotor 15 reduces material
costs.
Fig. 5 shows yet another construction of the rotor 15 including inner
sections 96, 97, 98, and 99 having substantially equal arc of magnetization skew,
and outer sections 95 and 100 having a lesser arc of magnetization skew with respect
to the magnetization skew of the inner sections 96, 97, 98, 99. The inner sections
96, 97, 98, 99 include the same arc of magnetization skew to enhance continuity
and symmetry. The outer sections 95 and 100 have a lesser arc of magnetization skew
(β) to enhance the output rating of the electrical machine with use of all
six axial sections 95, 96, 97, 98, 99, and 100.
For Figs. 2-5 described above, the value and number of output ratings
can vary and is not limiting on the invention. In addition, the incremental difference
between output ratings related to one or a combination of axial sections 55 can
vary and is not limiting on the invention.
In one construction of the invention, the electrical machine includes
the rotor 15 having a plurality of axial sections as shown in one of Figs. 2-5.
The rotor 15 provides multiple output ratings for the profile of the machine. This
construction of the electrical machine uses the same rotor 15 in electrical machines
of varying output ratings, thereby reducing the part count and the inventory required
for producing a range of motors of different output ratings using the same motor
profile.
In another construction of the electrical machine, one or more axial
sections 55 of the rotor 15 are not present when the desired output rating of the
electrical machine is less than the maximum power output rating for the machine
to be produced using the same stator core profile. For example, for the electrical
machine having a desired output rating of one-half horsepower, the rotor axial sections
70 and 72 of Fig. 2 are not necessary. This construction of the electrical machine
allows the use of the same magnetizer to magnetize the rotor 15 having a range of
output ratings within the profile of the machine. In addition, this construction
reduces the material waste (e.g., 70 and 72 of Fig. 2) of the rotor 15.
Various designs of stator 20 can be used to interact with each construction
of the rotor 15 described above and shown in Figs. 2-5. The following is a description
of one construction of the invention that includes the rotor 15 disposed radially
from the stator 20. With reference to Fig. 1, the stator 20 includes a stator core
105 having a plurality of stator teeth 110 and stator windings 112. In one construction,
the stator core 105 includes a stack of magnetic steel laminations or sheets. In
other constructions, the stator core 105 is formed from a solid block of magnetic
material, such as compacted powder of magnetic steel. The stator windings 112 include
electrical conductors placed in the slots 120 (Fig. 6) and around the plurality
of teeth 110. Other constructions and types of the stator core 105 and stator windings
112 known to those skilled in the art can be used and are not limiting on the invention.
Electrical current flowing through the stator windings 112 produces
a magnetic field that interacts with the magnetization of the rotor 15 to provide
torque to the rotor 15 and shaft 17. The electrical current can be an (m) phase
alternating current (AC), where (m) is an integer greater than or equal to two.
The electrical current can have various types of waveforms (e.g., square wave, quasi-sine
wave, etc). The stator windings 112 receive electrical current from an electrical
drive circuit (not shown). One construction of the electrical drive circuit includes
a controller and an inverter with one or more power electronic switches (e.g., MOSFET,
IGBT) to vary the flow of electrical current to the windings dependent on various
electrical machine operating parameters (e.g., speed, load, rotor position, etc.).
To determine the position of the rotor 15, the control circuit includes, in some
constructions, a sensor (e.g., Hall effect device, encoder, etc.) to provide the
control circuit with a signal representative of the rotor position. Alternatively,
the control circuit can estimate the rotor position through what is commonly referred
as a sensorless control. The electrical drive circuit can include other components
and circuit constructions known to those skilled in the art and is not limiting
on the invention.
Fig. 6 shows a cross-sectional profile of a motor cross-section perpendicular
to axis 50 used in one motor construction (the stator windings 112 are not shown
in Fig. 6). The stator core 105 includes the plurality of stator teeth 110, slots
120, and a back iron portion 115. Each of the plurality of stator slots 120 receives
one or more stator coils, the assembly of which constitutes the stator windings
112. The stator windings receive a multi-phase electrical current, where the number
of phases (m) is an integer greater than or equal to two. The number (t) of stator
teeth 110 equals the number of slots 120, where (t) is an integer. A slot 120 is
defined by the space between adjacent stator teeth 110. The rotor 15 is produced,
in one construction, by fixing three arc shaped magnets 26 on a rotor core 30. Other
rotor designs and constructions are also possible as mentioned previously. A magnetizer
is used to produce on the rotor 15 a number (p) of alternating magnetic poles that
interact with the stator 20, where (p) is an even (i.e., divisible by 2) integer
greater than or equal to two. The stator core 105 includes a ratio of the number
of stator teeth to magnetic poles (t/p) equal to (m/2) or (m/4).
The stator core 105 having the above-described construction (see Fig.
6) can be used to design and manufacture motors with various (m) electric phases,
with windings 112 composed of compact coils (see the winding patterns in Fig. 11
and Fig. 12) and rotors having poles (p). For example, a stator core 105 having
a same cross sectional profile with a number (t) of stator teeth 110 can be used,
in principle, to produce motors with (m) phases or an increased number of phases
(km). In order to maintain the same (t/p) ratio, the number of poles can be reduced
to (p/k), and therefore (k) can be any integer for which (p/k) is an even integer
greater than or equal to two. Alternatively, the number of phases can be decreased
from (m) to an integer (m/k), where (k) is any integer for which (m/k) is an integer
greater than or equal to two. In order to maintain the same (t/p) ratio, the number
of magnetic poles can be increased to (kp).
To provide a stator 20 with (m) symmetrical electric phases, within
each phase the compact coils, belonging to the phase, are connected such that consecutive
phases are placed at a mechanical angle of (4π/(mp)) radians. For any number
of phases (m), the number (t) of teeth and number (p) of poles is designed so that
their ratio (t/p) is equal to (m/2) or (m/4). The number of teeth per pole and phase
(t/p/m) is therefore a design constant, equal to S or R respectively, and therefore
for constant air-gap magnetic loading (i.e. flux density), the magnetic flux per
tooth remains constant. Therefore, the stator teeth 110 can be optimally designed
for any number of phases.
In some constructions of the machine, it is generally desired for
the back iron portion 115 (see Fig. 6) to operate at approximately the same magnetic
loading as the teeth 110. To equalize the magnetic loading, a minimum width of the
back iron portion 115 can equal half the value of the product of the number of teeth
per pole times the tooth width. The minimum width (wy) of the back iron
is defined as the minimum distance between the top of a slot 120 and a circle with
the center on the rotational axis 50 and a radius equal to the minimum distance
between the rotational axis 50 and any of the flat surfaces from the outside surface
of the stator core 105 (see Fig. 6). The number of teeth per pole (t/p) can be an
integer or a fractional number. Limits on the minimum width of the back iron portion
115 include manufacturability and increased mmf drop and core losses related to
back-iron flux density. For a design with an increased number of phases (m), the
number of poles (p) is decreased by design in order to maintain a constant ratio
(t/p) for a given lamination. Lowering by design the number of poles (p) results
in an increased magnetic pole pitch and, for the same air-gap magnetic loading,
an increased magnetic flux density in the back iron portion 115. Lowering by design
the number of poles (p), also results in a decrease of the fundamental frequency
of the magnetic field for a given rotational speed of electrical machine and limits
core losses in the back-iron portion 115. Finite element analysis that considers
the above-described parameters indicates the width of the back iron portion 115
ranges between (1S - 4S) times the product of the number of teeth per pole (t/p)
divided by 2 and times the tooth width (wt).
One construction of the stator windings 112 includes a double layer
arrangement of compact coils (Fig. 11), which are placed around each tooth (i.e.
the coils have a pitch of 1-slot). In this double layer arrangement, each slot is
shared by two coil sides, each of the coil sides belonging to a different coil and
phase. The two coil sides sharing a slot can be placed side by side or one on top
of the other. The double-layer winding pattern for an example 18-slot, 12-pole,
3-phase winding is shown in Fig. 11. Following the rules set above, for a given
stator core and a winding with compact coils and a double layer pattern, the coil
connections, the number of turns per coil and the wire size can be modified by design
in order for the machine to operate with any number of phases (m) and poles (p)
for which (t/p) is equal to (m/2) or (m/4).
Another construction of the windings 112 includes a single layer arrangement
of compact coils (Fig. 12), which are placed around every other tooth (i.e. the
coils have a pitch of 1-slot and are only placed around half the number of teeth).
In this single layer arrangement, each slot contains only one coil side. The single
layer winding pattern for an example 18-slot, 12-pole, 3-phase winding is shown
in Fig. 12. Following the rules set above, for a given stator core and a winding
with compact coils and a single layer pattern, the coil connections, the number
of turns per coil and the wire size can be modified by design in order for the machine
to operate with any number of phases (m) and poles (p) for which (t/p) is equal
to (m/2) or (m/4). In comparison with a double layer winding with compact coils,
a single layer winding with compact coils has only half the number of coils but
the per phase end-winding is generally longer.
The phase windings of the stator 20 are symmetrically and equidistantly
distributed at an angle of (2π/m) electrical radians or (4π/(mp)) mechanical
radians. A symmetrical (m) phase system of currents flowing through the stator windings
produces a magnetomotive force (mmf) with a space electrical fundamental harmonic
of the mechanical order (p/2). The mmf also includes space harmonics of the electrical
order (2km-1) and (2km+1), where k is an integer larger or equal to one. When the
electrical machine couples to a load, the mmf harmonics cause ripple torque, an
undesired machine characteristic described above. The amplitude of the mmf harmonic
increases as its harmonic order decreases. The amplitude of the lower-order mmf
harmonics (2m-1) and (2m+1) can be significant and their reduction ensures a smooth
motor operation.
With simple compact windings, built according to the previous description,
conventional means of reducing the mmf harmonics, such as short-pitching the winding
are not available. Instead, an optimal magnetization skew is determined and implemented
to reduce the mmf harmonics and the ripple torque, as well as the cogging torque.
The skew factor for a v-th electrical order mmf space harmonic is
given by the equation: (ksν=4sin(νβ/4)/(νpβ)), where
the arc of magnetization skew (β) is measured in radians on the rotor surface
facing the air-gap (see Fig. 2). A harmonic is completely eliminated if the argument
of the sine function satisfies the equation (νpβ/4=nπ), where (n) is
an integer larger or equal to zero. For an mmf harmonic of the electrical order
(v=2km-1) the previous equation is equivalent to (β=4nπ/(p(2km-1))) and
for an mmf harmonic of the electrical order (ν=2km+1) the previous equation is
equivalent to (β=4nπ/(p(2km+1))). For increasing values of (n) and/or (k),
both arrays (4nπ/(p(2km-1))) and (4nπ/(p(2km+1))) converge to (2π/(pm)).
Therefore, to reduce both (2km-1) and (2km+1) orders of mmf space
harmonics, one construction of the motor 10 includes the stator 20 having a ratio
of stator teeth 110 per magnetic pole (t/p) equal to (m/2) and the rotor 15 including
an arc of magnetization skew (β = 2π /(pm)) measured in radians on the rotor
surface facing the air-gap. Another construction of the motor 10 includes the stator
20 having a ratio of stator teeth 110 per pole (t/p) equal to (m/4) and the rotor
15 including an arc of magnetization skew (β=2π /(pm)) measured in radians
on the rotor surface facing the air-gap.
A typical manufacturing technique to provide a double layer stator
winding with compact coils includes use of a needle or gun winder. A substantially
large opening of the stator slot 120 is beneficial towards the air-gap in order
to allow the needle of the winder to be inserted into the slot.
A typical manufacturing technique to provide a single layer stator
winding with compact coils includes use of an insertion winder. A substantially
large opening of the stator slot 120 is required in order to allow the conductors
to be inserted into the slot. Other types and techniques known to those in the art
to provide the stator windings 112 of the stator 20 can be used.
A relatively large opening of slot 120 increases the ease of insertion
of the needle winder and of the conductors of the windings, respectively. An opening
of the slot 120 suitably large to be cost-effective for automatic winding manufacturing
includes a range greater than 1/6th of a tooth pitch. Tooth pitch is the distance
between adjacent centerlines 135 (see Figs. 7 - 9) of teeth 110. The slots 120 create
a variation of the permeance of the air-gap between the rotor 15 and the stator
20. The variation in air-gap permeance interacts with the magnetic field of the
rotor 15 to cause cogging torque. As noted above, cogging torque is an undesired
characteristic of electrical machines and its minimization, by reducing the variation
of the air-gap permeance, while still maintaining a slot opening suitably large
for volume manufacturing technologies.
Figs. 7, 8, and 9 show a construction of the stator core 105 that
includes "dummy" channels 130 in the stator teeth 110. The dummy channels 130 reduce
the amplitude and, for certain motor designs, can increase the frequency of the
cogging torque, as it will be shown in the following. The shape and dimensions of
each dummy channel 130 are varied by design to provide a more symmetrical variation
of the cogging torque versus rotor position. Constructions of the stator 20 include
a suitable core 105 having one or two dummy channels 130 per tooth 110. Of course,
the stator 20 of the invention can include more dummy channels 130 and is not limiting
on the invention.
The number of equivalent openings of slots 120 of the stator 20 includes
the number of slots 120 and the number of dummy channels 130 (see Figs. 7 - 9).
By adding a number (d) of dummy channels 130 at the free ends of each tooth 110,
where (d) is an integer greater than or equal to zero, the number of equivalent
slot openings towards the air-gap increases from the number (t) to ([d+1]t). The
frequency of the cogging torque is equal to the least common multiple of the number
([d+1]t) of equivalent slot openings and the number of poles (p).
For (t/p = m/2), mathematical induction proves the following:
Phases (m)
Poles (p)
dummy channels (d)
Cogging frequency (Hz)
2k
2j
1
mp
2k+1
2j
0 or 1
mp
2k+1
2j
2
3mp
where (k) and (j) are integers greater than or equal to one.
In each of the above cases, the arc of magnetization skew (β) equal to (2π/(mp)),
as measured in radians in between the longitudinal lines 32 and 33 on the rotor
surface facing the air-gap (see Fig. 13), causes a reduction of both the cogging
torque and torque ripple.
For (t/p=m/4), mathematical induction proves the following:
Phases (m)
Poles (p)
Dummy channels (d)
Cogging frequency (Hz)
2k+1
4j
0 or 1
mp
2k+1
4j
2
3mp
where (k) and (j) are integers greater than or equal to one.
In each of the above cases, the arc of magnetization skew (β) is equal to (2π/(mp)),
as measured in radians in between the longitudinal lines 32 and 33 on the rotor
surface facing the air-gap (see Fig. 13), causes a reduction of both the cogging
torque and torque ripple.
Fig. 7 shows one construction of a stator tooth 110 including a dummy
channel 130 having a centerline located at the middle of the tooth 110 and coinciding
with the tooth centerline 135. In the construction from Fig. 7, the dummy channel
130 is generally trapezoidal-shaped and is characterized by a top width of channel
(wn) a bottom width of channel (wb), and the side angle (α).
The width of the slot opening (wo) is designed to a minimum value for
which cost-effective manufacturing of the stator winding is achieved and the cogging
torque is low. The height of the slot opening (ho), and the dimensions
of the dummy channels (wn), (wb) and (α) are designed
to optimize the machine from a magnetic and mechanical point of view.
Finite element analysis of the electromagnetic field indicates a construction
of the channel 130 of Fig. 7, including a top width (wn) ranging from
(0.5wo) ≤ (wn) ≤ (1.5wo), a bottom width
(wb) ranging from (0.3wo) ≤ (wb) ≤ (1.2wo)
and the side angle (α) ranging from (30°) ≤ (α) ≤ (135°), controls
the local level of magnetic saturation in the tooth tip, modifies the air-gap magnetic
permeance, reduces the cogging torque, and improves the symmetry of the cogging
torque variation against rotor position. Therefore, the cogging torque is substantially
reduced in a motor which has, in addition, the rotor magnetization skewed with the
optimal arc of skew (β) previously determined.
Fig. 8 shows a second construction of a stator tooth 110 including
two dummy channels 130. The dummy channels are located so that their centerlines
137 are dividing the slot pitch, which is contained in between the centerlines 136
of two adjacent slots, in three intervals of approximately equal length. In the
construction from Fig. 8, the dummy channel 130 is generally trapezoidal-shaped
and is characterized by a top width of channel (wn), a bottom width of
channel (wb), a side angle (α), and yet another side angle (γ).
The width of the slot opening (wo) is designed to a minimum value for
which cost-effective manufacturing of the stator winding is achieved and the cogging
torque is low. The height of the slot opening (ho), and the dimensions
of the dummy channels (wn), (wb), (α), and (γ)
are designed to optimize the machine from a magnetic and mechanical point of view.
Finite element analysis of the electromagnetic field indicates a construction
of the channel 130 of Fig. 8, including a top width (wn) ranging from
(0.5wo) ≤ (wn) ≤ (1.5wo), a bottom width
(wb) ranging from (0.3wo) ≤ (wb) ≤ (wo)
and the side angles (α) and (γ) ranging from (30°) ≤ (α) ≤
(90°) and (30°) ≤ (γ) ≤ (90°), controls the local level of magnetic
saturation in the tooth tip, modifies the air-gap magnetic permeance, reduces the
cogging torque, and improves the symmetry of the cogging torque variation against
rotor position. Therefore, the cogging torque is substantially reduced in a motor
which has, in addition, the rotor magnetization skewed in the optimal arc of skew
(β) previously determined. For a construction of a stator 30 including two
dummy channels 130 per teeth 110, space limitations can limit the value of the side
angles (α) and (γ) to be equal or below ninety degrees.
Fig. 9 shows another construction of a stator tooth having two curvilinear
shaped dummy channels 130. The dummy channels are located so that their centerlines
137 are dividing the slot pitch, which is contained in between the centerlines 136
of two adjacent slots, in three intervals of approximately equal length. The opening
of the dummy channels 130 towards the air-gap is equal to the opening (wo)
of the slot 120. The curvilinear shape follows that of an arc of the circle with
the center on the respective dummy channel centerline and a diameter larger or equal
to ¾ of (wo) and smaller or equal to 1S of (wo). This
shape and dimensions of the dummy channels reduce the cogging torque and increase
the durability of the punching die used for manufacturing stator laminations.
Having described constructions of the electrical machine, a method
of assembling one construction of the electrical machine will now be described.
It is envisioned that the method may be modified for other constructions. Furthermore,
it is envisioned that not all of the acts below may be required, that some of the
acts may be modified, or that the order of the acts may vary.
A designer provides the rotor 15 having the plurality of alternating
magnetic poles. The rotor 15 is divided into a plurality of portions along the longitudinal
axis 50. The plurality of portions can include a first portion related to a first
output rating (e.g., one-half horsepower), a second portion relating to a second
output rating (e.g., three-quarter horsepower), and a third portion relating to
a third output rating (e.g., one horsepower).
Each of the portions is divided into one or more axial sections 55
(e.g., axial sections 70, 71, and 72 in Fig. 2). Each axial section 55 includes
a respective arc of magnetization skew (β) of the alternating magnetic poles
in relation to the first, second, and third output ratings of the electrical machine.
The arc of magnetization skew (β) is measured on the rotor surface facing the
air-gap, as shown in Fig. 2. A magnetizer is used to provide the magnetization of
the axial sections of the rotor. This method of constructing the rotor 15 allows
a common magnetizer to be used to provide the magnetization of the rotor for a plurality
of desired output ratings of the electrical machine, thereby reducing tooling costs.
In one construction of the electrical machine, the end axial sections 55 that are
not needed to provide the desired output rating are not included with the rotor
15 and therefore also the material cost is reduced. In another construction, all
axial sections 55 (e.g., sections in relation and not in relation to the desired
output rating) of the rotor 15 can be retained in the assembly of the rotor 15.
This second construction is advantageous if, for example, the cost of the rotor
material from the end axial sections that are not necessarily required in relation
to the desired output rating is smaller than the cost savings achieved by maintaining
an inventory with only a reduced number of rotor dimensions.
Using a uniform profile of the stator 20, the designer determines
the length of the stator core 105 to interact with the rotor 15 to provide the desired
output rating. For example, with a laminated construction of the stator core 105,
the designer selects a stack length of laminations of magnetic material to provide
the desired output rating. The stator core 105 is wound with windings 112 designed
for the electrical supply conditions, the stator core length, the rotor length,
and the desired motor output. The manufacturing operator aligns the stator 20 with
the rotor 15, so that the axial centerline of the stator core 105 coincides with
the axial centerline of the rotor 15 and no side-pull axial forces are exhibited
due to stator-rotor misalignment (see Fig. 10a). Referring to Fig. 10b, if the rotor
15 includes other end axial sections not in relation to the desired output rating
(e.g. 75 and 80), additional end axial spacers 150 can be added to help align the
stator core 105 with the rotor 15. For example, referring to Figs. 3 and 10b, if
the desired output rating is three-quarter horsepower, the stator 20 would be aligned
with the axial sections 76, 77, 78, and 79. Two spacers 150 are used to cover the
axial sections 75 and 80, respectively, of the rotor 15 not in relation to the desired
three-quarter horsepower machine. The end-spacers can enhance support of assembly
of the electrical machine in a uniform housing. The axial length of spacers 150
can vary with the constructions of the rotor 15 and stator 20 described above.
Thus, the invention provides, among other things, an electrical machine
with reduced cogging and torque ripple. Various features and advantages of the invention
are set forth in the following claims.
Attention is directed to all papers and documents which are filed
concurrently with or previous to this specification in connection with this application
and which are open to public inspection with this specification, and the contents
of all such papers and documents are incorporated herein by reference.
All of the features disclosed in this specification (including any
accompanying claims, abstract and drawings), and/or all of the steps of any method
or process so disclosed, may be combined in any combination, except combinations
where at least some of such features and/or steps are mutually exclusive.
Each feature disclosed in this specification (including any accompanying
claims, abstract and drawings) may be replaced by alternative features serving the
same, equivalent or similar purpose, unless expressly stated otherwise. Thus, unless
expressly stated otherwise, each feature disclosed is one example only of a generic
series of equivalent or similar features.
The invention is not restricted to the details of the foregoing embodiment(s).
The invention extends to any novel one, or any novel combination, of the features
disclosed in this specification (including any accompanying claims, abstract and
drawings), or to any novel one, or any novel combination, of the steps of any method
or process so disclosed.